To convert \(-120^\circ\) into radians, we use the conversion factor:

\[
\text{Radians} = \text{Degrees} \times \left(\frac{\pi}{180^\circ}\right)
\]

Substituting \(-120^\circ\):

\[
-120^\circ \times \left(\frac{\pi}{180^\circ}\right) = -\frac{120\pi}{180} = -\frac{2\pi}{3}
\]

So, \(-120^\circ\) in radians is:

\[
-\frac{2\pi}{3}
\]

Would you like further details or have any questions?

---

Here are five related questions for deeper exploration:

1. How do you convert \(45^\circ\) to radians?
2. What is the radian measure of \(270^\circ\)?
3. How do you convert radians back to degrees?
4. What is the difference between positive and negative angle measurements?
5. Can you explain the unit circle in terms of radians?

**Tip:** Always remember that \(\pi\) radians equals \(180^\circ\). This helps simplify conversions between degrees and radians.

Learn how to convert -120 degrees into radians with a detailed solution. This trigonometry problem uses the angle conversion formula to provide a clear step-by-step explanation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation